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Paraguay Contests
Paraguay Mathematical Olympiad
2004 Paraguay Mathematical Olympiad
3
3
Part of
2004 Paraguay Mathematical Olympiad
Problems
(1)
computational, perpendiculars, equilateral - OMAPA Paraguay 2004.3
Source:
9/14/2021
In an equilateral triangle
A
B
C
ABC
A
BC
, whose side is
4
4
4
, the line perpendicular to
A
B
AB
A
B
is drawn through the point
A
A
A
, the line perpendicular to
B
C
BC
BC
through point
B
B
B
and the line perpendicular to
C
A
CA
C
A
through point
C
C
C
. These three lines determine another triangle. Calculate the perimeter of this triangle
geometry
Equilateral